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受欢迎的代数 >

0=45-16d+d^2

解答

0 = 45 - 16 d + d^{2}

解答

d = 8 + 19, d = 8 - 19

+1

十进制

d = 12.35889 \dots, d = 3.64110 \dots

求解步骤

0 = 45 - 16 d + d^{2}

交换两边

45 - 16 d + d^{2} = 0

改写成标准形式

a x^{2} + b x + c = 0

d^{2} - 16 d + 45 = 0

使用求根公式求解

d_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 1 \cdot 45}{2 \cdot 1}

(- 16)^{2} - 4 \cdot 1 \cdot 45 = 219

d_{1, 2} = \frac{- ( - 16 ) \pm 2 19}{2 \cdot 1}

将解分隔开

d_{1} = \frac{- ( - 16 ) + 2 19}{2 \cdot 1}, d_{2} = \frac{- ( - 16 ) - 2 19}{2 \cdot 1}

d = \frac{- ( - 16 ) + 2 19}{2 \cdot 1} : 8 + 19

d = \frac{- ( - 16 ) - 2 19}{2 \cdot 1} : 8 - 19

二次方程组的解是:

d = 8 + 19, d = 8 - 19

作图

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